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Mathematical analysis on a multidimensional model of morphogen transport with receptor synthesis

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International Journal of Biomathematics 2014年第5期7卷 67-81页

作者： hongwei yin Xiaoyong Xiao Xiaoqing Wen Tianshou Zhou School of Science Nanchang University Nanchang 330031 P. R. China School of Mathematics and Computational Science Sun Yat-Sen University Guangzhou 510275 P. R. China

In biological development, morphogens are locally produced and spread to other regions in organs, forming gradients that control the inter-related pattern and growth of developing organs. Mechanisms of morphogen transport were built and investigated by numerical simulations in [A. D. Lander, Q. Nie and F. Y. M. Wan, Do morphogen gradients arise by diffusion？ Developmental Cell 2 （2002） 785-796]. In that paper, model C, which considers endocytosis, exocytosis and receptor synthesis and degradation, is in a one-dimensional spatial region and couples a partial differential equation with ordinary differential equations. Here, this model is promoted to an arbitrary dimension bounded region. We prove existence, uniqueness and non-negativity of a global solution for this advanced model, of its steady-state solution and linear stability of steady state by operator semigroup, the Schauder theorem and local perturbation method. Our results improve previous results for this model in a one dimension region.

关键词： Well-posedness morphogen transport endocytosis receptor synthesis.

Spatial patterns of the Brusselator model with asymmetric Lévy diffusion

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Chinese Physics B 2024年第11期33卷 129-136页

作者： hongwei yin Shangtao Yang Xiaoqing Wen Haohua Wang Shufen Yang School of Mathematics and Statistics Xuzhou University of TechnologyXuzhou 221111China School of Mathematics and Statistics Hainan UniversityHaikou 570228China Jiangxi Institute of Applied Science and Technology Nanchang 330100China

The formation of spatial patterns is an important issue in reaction–diffusion *** studies have mainly focused on the spatial patterns in reaction–diffusion models equipped with symmetric diffusion(such as normal or fractional Laplace diffusion),namely,assuming that spatial environments of the systems are ***,the complexity and heterogeneity of spatial environments of biochemical reactions in vivo can lead to asymmetric diffusion of ***,there arises an open question of how the asymmetric diffusion affects dynamical behaviors of biochemical reaction *** answer this,we build a general asymmetric L´evy diffusion model based on the theory of a continuous time random *** addition,we investigate the two-species Brusselator model with asymmetric L´evy diffusion,and obtain a general condition for the formation of Turing and wave *** interestingly,we find that even though the Brusselator model with symmetric diffusion cannot produce steady spatial patterns for some parameters,the asymmetry of L´evy diffusion for this model can produce wave *** is different from the previous result that wave instability requires at least a three-species *** addition,the asymmetry of L´evy diffusion can significantly affect the amplitude and frequency of the spatial *** results enrich our knowledge of the mechanisms of pattern formation.

关键词： asymmetric Lévy diffusion Turing and wave patterns Brusselator model

Structural Variation between the Western and Eastern Kuqa Fold-and-thrust Belt,China:Insights from Seismic Interpretation and Analog Modeling

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Acta Geologica Sinica(English Edition) 2023年第4期97卷 1078-1093页

作者： WANG Wei XIE Huiwen yin hongwei JIA Dong XU Zhenping LUO Haoyu HE Wanhui YUAN Rui DUAN Yunjiang School of Earth Science and Engineering Nanjing UniversityNanjing 210046China Research Institute of Petroleum Exploration and Development Tarim Oilfield CompanyPetroChinaKorlaXinjiang 841000China

The Kuqa fold-and-thrust belt exhibits apparent structural variation in the western and eastern *** salt layer act as effective decollements and influence the varied *** this study,detailed seismic interpretations and analog modeling are presented to construct the suprasalt and subsalt structures in the transfer zone of the middle Kuqa and investigate the influence of the two salt *** results reveal that the relationship of the two salt layers changes from separated to connected,and then overlapped toward the foreland in the transfer *** structural models are formed in the suprasalt and subsalt units due to the interaction of the two salt *** imbricate thrust faults form two broom-like fault systems in the subsalt *** suprasalt units develop detached folds terminating toward the east in the region near the orogenic ***,two offset anticlines with different trends develop at the frontal edge of the lower salt layer and the trailing edge of the upper salt layer,*** to exploration results in this region,the relationship between suprasalt and subsalt structures has an influence on hydrocarbon *** believe that the connected deformation contains high-risk plays while the decoupled deformation contains well-preserved plays.

关键词： along-strike variation analog modeling 3D geometric model salt-related structure Kuqa fold-and-thrust belt

Biosensors based on acetylcholinesterase immobilized on mesoporous silica thin films

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Chinese Science Bulletin 2009年第17期54卷 3023-3028页

作者： ZHANG XueAo JIA HongHui WANG XiaoFeng ZHANG HaiLiang yin hongwei CHANG ShengLi WANG JianFang WU WenJian College of Science National University of Defense Technology Changsha 410073 China College of Aerospace and Material Engineering National University of Defense Technology Changsha 410073 China

Using tetraethoxysilane and 3-aminopropyltriethoxysilane as the silica sources, amino-functionalized mesoporous silica thin films with 3-dimensional cubic structure have been deposited on conducting ITO substrate in the presence of surfactant F127 templates under acid conditions. The acetylcholinesterase (AchE) and cytochrome c (Cyt c) were incorporated into the pores of mesoporous thin films, and an amperometric biosensor was obtained. After adsorption of AchE and Cyt c, the ordered cubic structure of mesoporous silica and the bioactivities and electrochemical activities of the immobilized protein and enzyme molecules were retained. The sensor properties of the biosensor were investigated by using acetylthiocholine iodide as the substrate and Cyt c as the electron transfer mediator. The inhibition versus the logarithm of concentration was found to be linear to organophosphorus pesticide dichlorvos over the concentration ranges of 1.0×10-8 mol/L to 1.0×10-3 mol/L with the detection limit of 3.1×10-9 mol/L.

关键词：乙酰胆碱酯酶酶生物传感器二氧化硅薄膜介孔二氧化硅正硅酸乙酯 Pluronic 细胞色素C 三维立体结构

EXISTENCE RESULTS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH RIEMANN-LIOUVILLE DERIVATIVE

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Annals of Differential Equations 2014年第3期30卷 373-378页

作者： Jiaxing Zhou hongwei yin Dept. of Math. Nanchang University

In this paper, using the contracting mapping principle and the monotone iterative method, we consider the existence of solution to the initial value problem of fractional functional differential equations with Riemann... 详细信息

关键词： fractional functional differential equation existence Riemann-Linville derivative

Mechanism of Salt Migration Driven by Tectonic Processes:Insights from Physical and Numerical Modeling

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Acta Geologica Sinica(English Edition) 2014年第S1期88卷 273-274页

作者： yin hongwei ZHENG Mianping ZHANG Zhen WU Zhenyun WANG Xingyuan School of Earth Sciences and Engineering Nanjing University Institute of Mineral Resources Chinese Academy of Geological Sciences

1 Introduction Physical and numerical models are constructed to investigate the evolution and mechanism of salt migration driven by tectonic *** recent years,we have designed and ran series of models to simulate salt

关键词： In Mechanism of Salt Migration Driven by Tectonic Processes

POSITIVE SOLUTIONS TO HYBRID SCHR?DINGER EQUATION WITH NORMAL AND FRACTIONAL LAPLACIANS

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Annals of Applied Mathematics 2015年第4期31卷 446-451页

作者： Xiaoqing Wen Lina Wang hongwei yin School of Science Nanchang University School of Science Nanchang Institute of Technology

In this paper, we study the hybrid Schrodinger equation involving normal and fractional Laplace operator, and obtain the existence of the solutions to this class of the hybrid partial differential equation. Our main a... 详细信息

关键词： Schrodinger equation variational methods fractional Laplacian

ALMOST PERIODIC SOLUTIONS TO STOCHASTIC FRACTIONAL PARTIAL EQUATIONS IN FRACTIONAL POWER SPACE

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Annals of Applied Mathematics 2015年第3期31卷 336-344页

作者： Xiaoqing Wen Licheng Ge hongwei yin School of Science Nanchang University Institute for Advanced Study Nanchang University

In this paper, we prove the existence of pth moment almost periodic mild solutions in fractional power space to a class of stochastic fractional partial equations using the techniques of contraction fixed point princi... 详细信息

关键词： stochastic fractional differential equation pth moment almost periodicsolution

Sandbox modeling of oblique and orthogonal stretching with different stretching velocity and crustal thickness: Implications for the Qiongdongnan Basin, Northern South China

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Sandbox modeling of oblique and orthogonal stretching with d...